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Simplifying 4 + 2z + -1 = 9z + 21 + -5z Reorder the terms: 4 + -1 + 2z = 9z + 21 + -5z Combine like terms: 4 + -1 = 3 3 + 2z = 9z + 21 + -5z Reorder the terms: 3 + 2z = 21 + 9z + -5z Combine like terms: 9z + -5z = 4z 3 + 2z = 21 + 4z Solving 3 + 2z = 21 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 3 + 2z + -4z = 21 + 4z + -4z Combine like terms: 2z + -4z = -2z 3 + -2z = 21 + 4z + -4z Combine like terms: 4z + -4z = 0 3 + -2z = 21 + 0 3 + -2z = 21 Add '-3' to each side of the equation. 3 + -3 + -2z = 21 + -3 Combine like terms: 3 + -3 = 0 0 + -2z = 21 + -3 -2z = 21 + -3 Combine like terms: 21 + -3 = 18 -2z = 18 Divide each side by '-2'. z = -9 Simplifying z = -9
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